Graph the function $LaTeX: \displaystyle f(x)=\begin{cases} - x - 4,& x \leq -4\\ 4 - \frac{2 \left(x + 3\right)^{2}}{5},& -4 < x < 2\\ 10 - \frac{x}{5},& x \geq 2 \\ \end{cases}$

The graph has three parts. It is a line on $LaTeX: \displaystyle (-\infty, -4]$ , a parabola on $LaTeX: \displaystyle (-4,2)$ , and a line on $LaTeX: \displaystyle [2, \infty)$ . Graphing each part gives: